After the advent of the networked control systems [1]}, [2]}, the pioneering work [3]} done by Tatikonda and Mitter, was successful in developing a cohesive data rate theorem.The paper studies the stability of a control system under a rate-limited but reliable communication channel. It is assumed that the rate of communication is time invariable, the state process is a discrete random variable, and the disturbances that the system is subject to are bounded.
They show that the necessary conditions on the rate of the communication channel is independent of the algorithms used for encoding and decoding the communication messages. It has been also shown that these necessary conditions on the channel rate is also independent from the information patterns of the networked control system.
